It is an HTC Incredible 1, I got it right when it came out (Wikipedia says it was first released end of April, 2010). It's most likely the same you have then.
I haven't rooted it, just used it as an average person would for Facebook/browser/weather/etc. It was very surprising to see the phone degrade so much over time.
I had the same experience with my Incredible 1. It was wonderful for about 6 months until it became absolutely unusable. Random bugs all over the place. Updates not coming in. So much lagginess in the UI that the interface became basically unusable.
I haven't rooted it, just used it as an average person would for Facebook/browser/weather/etc. It was very surprising to see the phone degrade so much over time.